The number 51000
51000 is a composite number with 64 divisors. Its prime factorisation is × 3 × × 17. Divisors (64): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 17, 20, 24, 25, 30, 34 … 51000.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 51000: a Harshad number: divisible by its digit sum 6.
- 2
51000 is composite. Its prime factorisation is
- 3
The divisors add up to 168480; without 51000 itself that is 117480, so 51000 is abundant (117480 is more than 51000). Euler's totient φ(51000) = 12800 numbers up to 51000 share no factor with it.
- 4
The digits of 51000 add up to 6, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 202 steps to reach 1.
LaTeX source of the formulas on this page
\[ 51000 = 2^{3} \times 3 \times 5^{3} \times 17 \]51000 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 64 |
| Sum of divisors | 168480 |
| Euler totient φ(n) | 12800 |
| Square | 2601000000 |
| Cube | 132651000000000 |
| Square root | 225.831796 (= 10√510) |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 202 |
| Scientific notation | 5.1 × |
51000 in other forms
| Form | Value |
|---|---|
| In words | fifty-one thousand |
| Binary (base 2) | 1100011100111000 |
| Octal (base 8) | 143470 |
| Hexadecimal (base 16) | C738 |
| Base 3 | 2120221220 |
| As time | 51000 seconds = 14 h 10 min 0 s |
Is 51000 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (51000 ÷ 2 = 25500) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (51000 ÷ 3 = 17000) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (51000 ÷ 4 = 12750) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (51000 ÷ 5 = 10200) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (51000 ÷ 6 = 8500) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | Yes (51000 ÷ 8 = 6375) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (51000 ÷ 10 = 5100) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (51000 ÷ 12 = 4250) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 51000 a prime number?
No. 51000 = × 3 × × 17, so it is divisible by 2.
What are the factors of 51000?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 17, 20, 24, 25, 30, 34, 40, 50, 51, 60, 68, 75, 85, 100, 102, 120, 125, 136, 150, 170, 200, 204, 250, 255, 300, 340, 375, 408, 425, 500, 510, 600, 680, 750, 850, 1000, 1020, 1275, 1500, 1700, 2040, 2125, 2550, 3000, 3400, 4250, 5100, 6375, 8500, 10200, 12750, 17000, 25500, 51000.
What is 51000 in binary?
1100011100111000 (hexadecimal C738, octal 143470).
What is the square root of 51000?
About 225.8318, exactly 10√510.
Is 51000 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 51000?
51000 is a Harshad number: divisible by its digit sum 6.